document.write( "Question 202094: Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number \n" ); document.write( "

Algebra.Com's Answer #152350 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number.
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\n" ); document.write( "\"3 consecutive even numbers\": x, (x+2), (x+4)
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\n" ); document.write( "\" where the product of the smaller two numbers is 64 less than the square of the largest number\"
\n" ); document.write( "x *(x+2) = (x+4)^2 - 64
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\n" ); document.write( "x^2 + 2x = x^2 + 8x + 16 - 64
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\n" ); document.write( "x^2 - x^2 + 2x - 8x = 16 - 64
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\n" ); document.write( "-6x = -48
\n" ); document.write( "x = $\"%28-48%29%2F%28-6%29\"$
\n" ); document.write( "x = +8
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\n" ); document.write( "8, 10, 12 are the numbers
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"the product of the smaller two numbers is 64 less than the square of the largest\"
\n" ); document.write( " 8 * 10 = 144 - 64 \n" ); document.write( "

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